12.41 Race and Ethnicity. The U.S. Census Bureau allows each person to choo from a long list of races. That is, in the eyes of the U.S. Census Bureau, you belong to whatever race you say you belong to. "Hispanic/Latino" is a separate category; Hispanics may be of any race. If we choose a resident of the United States ot rondom the ITS 17

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KINDLY SOLVE THESE 4 QUESTIONS (41/42/43/44) . BECAUSE all are interconnected So kindly solve all these 4 questions.All details are given .Thanks in advance .
12.41 Race and Ethnicity. The U.S. Census Bureau allows each person to choose
from a long list of races. That is, in the eyes of the U.S. Census Bureau, you
belong to whatever race you say you belong to. "Hispanic/Latino" is a separate
category; Hispanics may be of any race. If we choose a resident of the United
States at random, the U.S. Census Bureau gives these probabilities:¹7
Asian
Black
White
Other
Hispanic
0.003
0.011
0.161
0.009
Not Hispanic
0.064
0.131
0.605
0.016
a. Verify that this is a legitimate assignment of probabilities.
b. What is the probability that a randomly chosen American is Hispanic?
c. Non-Hispanic Whites are the historical majority in the United States.
What is the probability that a randomly chosen American is not a member
of this group?
Transcribed Image Text:12.41 Race and Ethnicity. The U.S. Census Bureau allows each person to choose from a long list of races. That is, in the eyes of the U.S. Census Bureau, you belong to whatever race you say you belong to. "Hispanic/Latino" is a separate category; Hispanics may be of any race. If we choose a resident of the United States at random, the U.S. Census Bureau gives these probabilities:¹7 Asian Black White Other Hispanic 0.003 0.011 0.161 0.009 Not Hispanic 0.064 0.131 0.605 0.016 a. Verify that this is a legitimate assignment of probabilities. b. What is the probability that a randomly chosen American is Hispanic? c. Non-Hispanic Whites are the historical majority in the United States. What is the probability that a randomly chosen American is not a member of this group?
Choose at random a person 15 years of age or older. Ask their gender and marital status
(never married, married, or widowed/divorced/separated). Here is the probability
model for 8 possible answers:18
Never married
Married
Divorced
Widowed
Men
0.171
0.259
12.43 Marital Status, Continued.
0.042
0.013
Gender
Exercises 12.42 through 12.44 use this probability model.
Women
0.152
0.261
0.057
0.045
12.42 Marital Status.
a. Why is this a legitimate finite probability model?
b. What is the probability that the person chosen is a woman who is
married?
c. What is the probability that the person chosen is a woman?
d. What is the probability that the person chosen is married?
a. List the outcomes that make up the event
A = {The person chosen is either a woman or is married}
b. What is P (A)? Explain carefully why P (A) is not the sum of the
probabilities you found in parts (c) and (d) of the previous exercise.
12.44 Marital Status, Continued.
a. What is the probability that the person chosen is a man?
b. What is the probability that the person chosen is or has been married?
Transcribed Image Text:Choose at random a person 15 years of age or older. Ask their gender and marital status (never married, married, or widowed/divorced/separated). Here is the probability model for 8 possible answers:18 Never married Married Divorced Widowed Men 0.171 0.259 12.43 Marital Status, Continued. 0.042 0.013 Gender Exercises 12.42 through 12.44 use this probability model. Women 0.152 0.261 0.057 0.045 12.42 Marital Status. a. Why is this a legitimate finite probability model? b. What is the probability that the person chosen is a woman who is married? c. What is the probability that the person chosen is a woman? d. What is the probability that the person chosen is married? a. List the outcomes that make up the event A = {The person chosen is either a woman or is married} b. What is P (A)? Explain carefully why P (A) is not the sum of the probabilities you found in parts (c) and (d) of the previous exercise. 12.44 Marital Status, Continued. a. What is the probability that the person chosen is a man? b. What is the probability that the person chosen is or has been married?
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